MATA222 Algebra 1: Rings and Fields (5 cr)

Open the course unit brochure on Sisu
Study level:
Intermediate studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2024-2025, 2025-2026, 2026-2027, 2027-2028

Description

Basics of abstract algebra: modular arithmetic, rings and fields, polynomial rings, divisibility of polynomials, ideals and quotient rings

Learning outcomes

After completing the course successfully the student

  • knows the basic properties of rings and fields and the most essential examples of them
  • knows how to compute and examine divisibility in residue class rings and polynomial rings
  • knows the concepts of ideal and factor ring
  • can tell the connections between divisibility of integers and the basic theory of rings

Description of prerequisites

Linear algebra and geometry 1

Study materials

Lecture notes (in Finnish)

The contents of the study-module correspond to: T.W. Hungerford, Abstract Algebra: an introduction, chapters 1-6.

Literature

  • T.W. Hungerford, Abstract Algebra: an introduction, Brooks/Cole cop. 2014. 3rd ed; ISBN: 9781111569624

Completion methods

Method 1

Description:
The grade is based on course exam and bonus points from exercises as mentioned in the teaching schedule.
Evaluation criteria:
course exam and exercises
Time of teaching:
Period 3
Select all marked parts

Method 2

Description:
Hyväksyttyyn suoritukseen riittää puolet lopputentin maksimipistemäärästä.
Evaluation criteria:
final exam
Select all marked parts
Parts of the completion methods
x

Teaching (5 cr)

Type:
Participation in teaching
Grading scale:
0-5
Language:
Finnish

Teaching

x

Exam (5 cr)

Type:
Exam
Grading scale:
0-5
Language:
Finnish

Teaching